Monodromy and vanishing cycles in toric surfaces

DOI10.1007/s00222-018-0845-6zbMath1440.57028arXiv1710.08042OpenAlexW2964349968WikidataQ128750923 ScholiaQ128750923MaRDI QIDQ1741575

Nick Salter

Publication date: 3 May 2019

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08042

zbMATH Keywords

spin structuremapping class groupRiemann surfaceample line bundlevanishing cyclediscriminant locusmonodromy representationtoric surfacecomplete linear systemadmissible twist

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Geometric group theory (20F65) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (11)

Framed mapping class groups and the monodromy of strata of abelian differentials ⋮ Irrationality and monodromy for cubic threefolds ⋮ The kernel of the monodromy of the universal family of degree d smooth plane curves ⋮ Topological field theory on r-spin surfaces and the Arf-invariant ⋮ Galois theory for general systems of polynomial equations ⋮ The vanishing cycles of curves in toric surfaces II ⋮ Higher spin mapping class groups and strata of abelian differentials over Teichmüller space ⋮ Vanishing cycles, plane curve singularities and framed mapping class groups ⋮ Generating the spin mapping class group by Dehn twists ⋮ Connected components of strata of abelian differentials over Teichmüller space ⋮ Complements to Ample Divisors and Singularities

Cites Work

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• A survey of the Torelli group
• Spin Structures and Quadratic forms on Surfaces
• The vanishing cycles of curves in toric surfaces I
• A Generalization of Winding Number Functions on Surfaces
• The vanishing cycles of curves in toric surfaces II

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